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Finding the Fourth Proportional to 98.67, 147.29 and 85.92

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Solution

The fourth proportional to 98.67, 147.29 and 85.92 is: 128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.67 : 147.29 = 85.92 : x
  2. Step 2: Convert to fraction form
    98.67/147.29 = 85.92/x
  3. Step 3: Cross multiply
    98.67x = 147.29 × 85.92
  4. Step 4: Simplify right side
    98.67x = 12,654.73
  5. Step 5: Solve for x
    x = 12,654.73/98.67
  6. Step 6: Final answer
    x = 128.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.